4(2x-7)-6=4(x-4)+2

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Solution for 4(2x-7)-6=4(x-4)+2 equation:


Simplifying
4(2x + -7) + -6 = 4(x + -4) + 2

Reorder the terms:
4(-7 + 2x) + -6 = 4(x + -4) + 2
(-7 * 4 + 2x * 4) + -6 = 4(x + -4) + 2
(-28 + 8x) + -6 = 4(x + -4) + 2

Reorder the terms:
-28 + -6 + 8x = 4(x + -4) + 2

Combine like terms: -28 + -6 = -34
-34 + 8x = 4(x + -4) + 2

Reorder the terms:
-34 + 8x = 4(-4 + x) + 2
-34 + 8x = (-4 * 4 + x * 4) + 2
-34 + 8x = (-16 + 4x) + 2

Reorder the terms:
-34 + 8x = -16 + 2 + 4x

Combine like terms: -16 + 2 = -14
-34 + 8x = -14 + 4x

Solving
-34 + 8x = -14 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-34 + 8x + -4x = -14 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-34 + 4x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-34 + 4x = -14 + 0
-34 + 4x = -14

Add '34' to each side of the equation.
-34 + 34 + 4x = -14 + 34

Combine like terms: -34 + 34 = 0
0 + 4x = -14 + 34
4x = -14 + 34

Combine like terms: -14 + 34 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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